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12 volt wire size calculator

Size a two-wire 12 V circuit by voltage drop and compare the conductor area for the same source power at 12 V, 24 V and 48 V.

Calculator

Conductor area
0.000009
Conductor area (mm²)
9.33333333
Equivalent bare round-wire diameter
0.003447
One-way run length
10
Load current
10
Allowed voltage drop
0.36
Voltage at the load at this limit
11.64
Source power for the resistive load
120
Operating resistivity (nano-ohm metres)
16.80000000
Temperature coefficient (1/K)
0.00390000
AWG meeting the area criterion
AWG 7; voltage-drop criterion only
Same source power on two-wire 12 V, 24 V and 48 V supplies
Source voltage (V)Current (A)Required area (mm²)
12.0000000010.000000009.33333333
24.000000005.000000002.33333333
48.000000002.500000000.58333333

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How this calculator works

A 12 V circuit has little voltage to spare: a 3% allowance is only 0.36 V. The calculation includes both supply and return conductors. Choose copper, aluminium or a measured resistivity in nano-ohm metres at 20 C. The comparison table keeps source power, one-way distance, temperature and percentage drop unchanged; doubling supply voltage halves current and quarters required area. It assumes equal resistance in both wires and excludes connectors and chassis returns. The AWG result is an area comparison; it does not check cable heating or fuse selection.

Formula

DeltaV = k rho(T) L I/A; A = k rho(T) L I/DeltaV; L = DeltaV A/(k rho(T) I); I = DeltaV A/(k rho(T) L). For two wires k = 2; for balanced three-phase k = sqrt(3). rho(T) = rho20[1 + alpha(T - 20 C)].

Worked example

A 10 A load over 10 m one-way at 12 V with a 3% limit needs 9.3333 mm² of copper at 20 C. The same 120 W source power at 24 V draws 5 A and needs 2.3333 mm² for the same run and percentage limit.

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Frequently asked questions

Should I enter the battery voltage while charging?

This page fixes the source at nominal 12 V. For a measured charging or low-battery voltage, use the general wire size calculator.

Is the distance the full cable loop?

Enter the distance from source to load. The model adds an equally long return conductor automatically.

Why might an LED strip still be dim?

Strip traces, terminals and connectors add resistance beyond the two conductors modelled here. Check the voltage at the strip under load.

Sources

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